Is 1/3 greater than 5/3?

To compare two fractions, such as 1/3 and 5/3, there are two main common methods: the first one involves finding a common denominator, and the other one is to convert the fractions directly into decimal values.

1) Using the same denominator

Given that 1/3 and 5/3 share the same common denominator (3), the comparison is straightforward: we just have to check which numerator is the largest.

Since 1 is smaller than 3, we can conclude that 1/3 is less than 5/3.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 1 divided by 3 is equal to 0.33333333333333
  2. 5 divided by 3 is equal to 1.6666666666667

Since 0.33333333333333 is smaller than 1.6666666666667, it means that 1/3 is less than 5/3.